Select the correct answer. Function f approximately represents the trajectory of an airplane in an air show, where x is the horizontal distance of the flight, in kilometers.f(x)=88x^2-264x+300 What is the symmetry of the function?
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MY ANSWER IS 73
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In order to determine the line of symmetry, it would help to put this standard form parabola into vertex form, which is
,
where x = h is the equation of the line of symmetry.
To get this into vertex form we will complete the square. The first couple of steps I will combine into 1. We will set the quadratic equal to zero, then move the constant over to the other side:
The next rule is that the leading coefficient HAS to be a positive 1. Ours is a positive 88, so we have to factor it out:
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